## As (u•∇)u Au +C \* ∇u 3 +C \* u 2 , with C \* a positive constant that is independent of the 'size' of domain, one gets
The Decay Rates of Strong Solutions for Navier–Stokes Equations
✍ Scribed by Cheng He; Ling Hsiao
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 80 KB
- Volume
- 268
- Category
- Article
- ISSN
- 0022-247X
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✦ Synopsis
In this paper, we deduce the estimates on decay rates of higher order derivatives about time variable and space variables for the strong solution to the Cauchy problem of the Navier᎐Stokes equations. The rate obtained is optimal in the sense that it coincides with that of solution to the heat equation.
📜 SIMILAR VOLUMES
## Abstract In this paper we derive a decay rate of the __L__^2^‐norm of the solution to the 3‐D Navier–Stokes equations. Although the result which is proved by Fourier splitting method is well known, our method is new, concise and direct. Moreover, it turns out that the new method established here
A complete boundary integral formulation for incompressible Navier -Stokes equations with time discretization by operator splitting is developed using the fundamental solutions of the Helmholtz operator equation with different order. The numerical results for the lift and the drag hysteresis associa